Q2. In the production of heat exchangers (water heater), piecepipes are produced to be bent with 5 copper pipe cutting machines.Respectively;

A. number of defective products in the pipe bending machine12
B. number of defective products in pipe bending machine 16
C. number of defective products in pipe bending machine 52
D. number of defective products in pipe bending machine 29
E. number of defective products in pipe bending machine 10
The number of faulty products due to other reasons is 6.
In order to improve the production, observation values ??were takenfrom the copper pipe cutting machine with the lowest number offaulty products. Design length measurement value of the producedpart was determined as L = 63.0 ± 0.8 mm.

a) Visualize the situation in pipe cutting machines by usingPareto analysis method according to the number of faulty products(15 points).

b) In the production of heat exchangers (water heater), it wasdecided to use an optical measurement system to obtain themeasurement values ??from the copper pipe cutting machine, whichhas the lowest number of faulty products, to improve theproduction. With the measurement system, a total of 40 (forty)observation values ??were taken during the 8 (eight) hour shift, 5(five) samples every 60 minutes. Obtained observation values ??wereanalyzed with “Frequency Distribution Analysis Method”. Since theclass clearance value is 0.6, estimate the Standard Deviation valueof this process (20 points).

c) Calculate the potential C_p and actual C_pk adequacy indicesof the process (35 points), since the arithmetic mean of theobservation values ??is 63.3.

For n = 5, d2 = 2,326 will be taken!